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Twelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:
Sample
Sample Mean (in.)
Range (in.)
1
10.002
0.011
2
0.014
3
9.991
0.007
4
10.006
0.022
5
9.997
0.013
6
9.999
0.012
7
10.001
0.008
8
10 005
9
9.995
0.004
10
11
12
0.009
a) Determine the upper and lower control limits and the overall means for x-charts and R-charts.
b) Draw the charts and plot the values of the sample means and ranges.
c) Do the data indicate a process that is in control?
d) Why or why not?
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